What is the value of the composite constant (gmer2e), to be multiplied by the mass of the object mo in the equation above? express your answer numerically in meters per second per second?

The solution would be like this for this specific problem:

F = (G Me Mo) / Re^2

F / Mo = (G Me) / Re^2

G = gravitational constant = 6.67384 * 10^-11 m3 kg-1 s-2

Me = 5.972 * 10^24 kg

Re^2 = (6.38 * 10^6) ^2 m^2 = 40.7044 * 10^12 m^2 = 4.07044 * 10^13 m^2

G Me / Re^2 = (6.67384 * 10-11 * 5.972 * 10^24) / 4.0704 * 10^13 = 9.7196 m/s^2

9.7196 m/s^2 = acceleration due to Earth’s gravity

Therefore, the value of the composite constant (Gme / r^2e) that is to be multiplied by the mass of the object mo in the equation above is 9.7196 m/s^2.